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28337280816 = 24313449101141
BaseRepresentation
bin11010011001000010…
…001001011100110000
32201010212121000110010
4122121002021130300
5431013320441231
621003514134520
72022136625025
oct323102113460
981125530403
1028337280816
1111021724549
1255aa121440
132897a6c7b0
14152b6a954c
15b0cb8b546
hex699089730

28337280816 has 80 divisors (see below), whose sum is σ = 79012130400. Its totient is φ = 8699658240.

The previous prime is 28337280779. The next prime is 28337280821. The reversal of 28337280816 is 61808273382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229606 + ... + 330746.

It is an arithmetic number, because the mean of its divisors is an integer number (987651630).

Almost surely, 228337280816 is an apocalyptic number.

28337280816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28337280816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39506065200).

28337280816 is an abundant number, since it is smaller than the sum of its proper divisors (50674849584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28337280816 is a wasteful number, since it uses less digits than its factorization.

28337280816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101614 (or 101608 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 28337280816 in words is "twenty-eight billion, three hundred thirty-seven million, two hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 449 624 898 1347 1796 2694 3592 5388 5837 7184 10776 11674 17511 21552 23348 35022 46696 70044 93392 101141 140088 202282 280176 303423 404564 606846 809128 1213692 1314833 1618256 2427384 2629666 3944499 4854768 5259332 7888998 10518664 15777996 21037328 31555992 45412309 63111984 90824618 136236927 181649236 272473854 363298472 544947708 590360017 726596944 1089895416 1180720034 1771080051 2179790832 2361440068 3542160102 4722880136 7084320204 9445760272 14168640408 28337280816